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8/18/2019 7 - Block Diagram Reduction
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TRANSFER FUNCTION FORFEEDBACK CONTROL SYSTEM
• The general feedback for!"#$l#%ed odel& #" "ho'n belo'()
8/18/2019 7 - Block Diagram Reduction
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E*AM+LE
• +ro,e -he clo"ed)loo$ -ran"ferf.nc-#on !CLTF& of nega-#,e feedback"/"-e a" "ho'n belo' #"
.
)()(1
)(
s H sG
sG
+
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TRANSFER FUNCTION FORFEEDBACK CONTROL SYSTEM
• 0e ob-a#n -he e1.#,alen-2 or clo"ed)loo$ -ran"fer f.nc-#on !CLTF& "ho'nbelo'()
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BLOCK DIA3RAMS
• S.b"/"-e #" re$re"en-ed a" a block'#-h an #n$.-2 an o.-$.- and a TF4
• Co$o"ed of .l-#$le ".b"/"-e"4
• M.l-#$le ".b"/"-e" are #n-erconnec-ed2fe' ore "chea-#c eleen-" ."- beadded -o -he block d#agra4
• Ne' eleen-" are() – S.#ng 5.nc-#on"
– +#cko6 $o#n-"
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8/18/2019 7 - Block Diagram Reduction
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CASCADE FORM
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+ARALLEL FORM
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FEEDBACK FORM
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7UI8 9
Red.ce -he abo,e block d#agra #n-o -he follo'#ng "#ngle #n$.- o.-$.- bloc
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MO:IN3 BLOCKS
a& To -he lef- $a"- a ".#ng 5.nc-#on
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MO:IN3 BLOCKS
b& To -he r#gh- $a"- a ".#ng 5.nc-#on
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MO:IN3 BLOCKS
c& To -he lef- $a"- a $#cko6 $o#n-
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MO:IN3 BLOCKS
d& To -he r#gh- $a"- a $#cko6 $o#n-
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MO:IN3 BLOCKS
• E;a$le
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8/18/2019 7 - Block Diagram Reduction
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MO:IN3 BLOCKS
• E;a$le !N#"e&()
– Red.ce -he block d#agra "ho'n #n F#g4
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8/18/2019 7 - Block Diagram Reduction
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